Finding the Fourth Proportional to 215.82, 298.00 and 142.24

Step by Step Solution

1. Step 1: Write the proportion equation
   215.82 : 298.00 = 142.24 : x
2. Step 2: Convert to fraction form
   215.82/298.00 = 142.24/x
3. Step 3: Cross multiply
   215.82x = 298.00 × 142.24
4. Step 4: Simplify right side
   215.82x = 42,386.71
5. Step 5: Solve for x
   x = 42,386.71/215.82
6. Step 6: Final answer
   x = 196.40